Pure Maths Colloquium: Dynamical properties of billiards and flows on surfaces
21 November 2011 16:00 in CM221
In a mathematical billiard a particle moves without friction in a planar domain bouncing elastically at the boundary. Billiards inside rational polygons and area preserving flows on surfaces are two examples of dynamical systems which can be studied using Teichmueller dynamics, a topical and exciting field of research. We will give a brief introduction to the study of mathematical billiards and present some recent results on billiards in regular polygons (joint work with J. Smillie) and chaotic properties of area preserving flows on surfaces.
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